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Finding the Fourth Proportional to 85,830.86, 128,717.12 and 43,694.66

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Solution

The fourth proportional to 85,830.86, 128,717.12 and 43,694.66 is: 65,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.86 : 128,717.12 = 43,694.66 : x
  2. Step 2: Convert to fraction form
    85,830.86/128,717.12 = 43,694.66/x
  3. Step 3: Cross multiply
    85,830.86x = 128,717.12 × 43,694.66
  4. Step 4: Simplify right side
    85,830.86x = 5,624,250,794.58
  5. Step 5: Solve for x
    x = 5,624,250,794.58/85,830.86
  6. Step 6: Final answer
    x = 65,527.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.